Monday, August 31, 2020

Week 3, Day 1 (Chapter 17: Critical Reasoning)

 

Chapter 17 “Critical Reasoning”

·       Based on the logical construction of arguments

·       Can appear anywhere in the verbal section

·       ~ ¼ of the verbal section, ~10 questions

·       Usually a short passage (20-100 words) with a single question and 5 multiple choice answers

·       Not categorizable by subject, often hypothetical scenarios

·       Read carefully, attend to language use, interpret literally, be very precise

·       8 question types

·       Use PoE

https://www.youtube.com/watch?v=xpAvcGcEc0k – Monty Python’s Flying Circus “Argument Clinic” sketch

Arguments are not:

-        Abuse

-        Assault

-        Complaints

-        Mere contradiction

Arguments are: a collective series of statements intended to establish a definite proposition.

 

Arguments have three parts:

1.     Conclusion – what the author tries to persuade the reader to accept; key words include: therefore, thus, hence, so, consequently, in conclusion, accordingly, as a result, wherefore, we may infer, we may conclude, it follows that, it must be that, entails that, for this reason, implies that; key words for opinions include: suggest, believe, hope, indicate, argue

2.     Premise(s) – evidence supporting the conclusion; key words include: because, given that, result of, since, due to, based on, for, inasmuch as, as shown by, for the reason that, as indicated by, in that, may be inferred from, as, seeing that, owing to

3.     Assumptions – unstated in the passage, but required to connect premise(s) to conclusion, never explicit, but implied

 

Gaps – gaps in reasoning show up as gaps in language, so look for words/phrases/ideas that appear in ONLY the conclusion but NOT in the premises. Identify shifts in wording to find these logical gaps.

 

Other information in the passage may include: extraneous ideas, background information, opposing points of view, etc. These are NOT part of the argument.

 

Two categories of arguments are deductive and inductive. Most arguments in standardized tests are inductive arguments, based on the accumulation of evidence. Deductive arguments, by contrast, are usually based on definitions and/or categories.

 

For example, one deductive argument:

All humans are mortal.

Socrates is human.

Therefore, Socrates is mortal.

 

By contrast, one inductive argument:
The sun rose yesterday, and the day before that.

The sun has risen every day of recorded history.

Therefore, the sun will rise tomorrow.

(The hidden assumption: the future will be like the past)

 

Common Reasoning Patterns:

·       Causal – connect two events as cause and effect

o   Two assumptions:

§  There is no other cause

§  These are not coincidental

o   HOWEVER correlation does NOT equal causation – so be very careful

·       Planning – plans designed to solve problems

o   Assumption: There is no problem with the plan

o   HOWEVER most plans DO have problems, so try to look for possible obstacles

·       Sampling – evidence about a sample, smaller group proves the same claim is true about the larger population

o   Assumption: the sample group represents the larger group accurately

o   HOWEVER most samples fail to be wholly representative, so look for ways the larger group might differ from the sample group

·       Interpretation of evidence – sometimes statistical; an interpretation where the premise becomes the conclusion

o   Assumption: there is no other way to interpret the evidence

o   HOWEVER more often there ARE other ways to interpret the evidence

·       Analogy – similarities between two things in one respect mean that there are further similarities between those two tings

o   Assumption: One thing is similar to the other in all or most ways

o   HOWEVER there are often far more differences than similarities, so look for those important disanalogies or dissimilarities

 

Question Types: assumption, weaken, strengthen, inference, resolve/explain, evaluate, identify the reasoning, flaw

 

Basic approach:

1.     Identify the question – look for words or phrases in the question stem to identify the type, which will tell you what approach is best. Types of questions include:

a.      Assumption (p. 307) – identify the unstated claim; key words: presupposition, expectation, assumption

b.     Weaken (p. 307) – undermine the way the conclusion comes from the premise(s); key words: weaken, undermine, cast doubt)

c.      Strengthen (p. 307) – add more support to an assumption; key words: strengthen, support, justify

d.     Inference (p. 308) – identify an additional conclusion; key words: inference, support, strengthen

e.      Resolve/Explain (p. 308) – identify what supports the two different ideas; key words: resolve, explain, paradox, discrepancy, apparent contradiction

f.      Evaluate (p. 309) – test the assumption(s); key words: evaluate, assess, experiment, determine, test

g.     Identify the reasoning (p. 309) – identify the technique or method the author uses; key words: technique, strategy, method, roles

h.     Flaw (p. 309) – identify the problem or vulnerability in the argument; key words: vulnerable, criticism, flaw

i.       Logical fallacies: yourlogicalfallacyis.com

2.     Work the passage – read and take notes

a.      Assumption – identify premises and conclusions, then look for what bridges the gap

b.     Weaken – attack the assumption

c.      Strengthen – reinforce the assumption

d.     Inference – what must be true given the evidence

e.      Resolve/explain – what can make both claims true

f.      Evaluate – determine what test will mean the claim is true or false

g.     Identify the reasoning – describe the structure of the argument

h.     Flaw – what exposes a weakness

3.     Predict the answer – imagine what a good answer will do

a.      Assumption – will connect premise to conclusion (NOT new information)

b.     Weaken – will widen the gap or attack the assumption

c.      Strengthen – will support premise/assumption/conclusion or introduce new information

d.     Inference – will be supported by the passage

e.      Resolve/explain – will allow both claims to be true

f.      Evaluate – will make it possible to determine if a claim is true or false

g.     Identify the reasoning – will mirror the argument structure

h.     Flaw – will articulate a faulty assumption or other claim

4.     Use PoE – first, remember that half right = all wrong

a.      Assumption – try the negation test: negate your preferred answer and see if it changes the conclusion. Eliminate:

                                                    i.     Out of scope

                                                  ii.     Extreme language

b.     Weaken – ask how each choice affects the author’s claim. Eliminate:

                                                    i.     Out of scope

                                                  ii.     Extreme Language (maybe keep)

                                                iii.     Strengthen the argument

c.      Strengthen – ask how each choice affects the author’s claim. Eliminate:

                                                    i.     Out of scope

                                                  ii.     Extreme language (maybe keep)

                                                iii.     Weaken the argument

d.     Inference – ask how close the choice is to what is in the passage. Eliminate:

                                                    i.     Additional assumptions

                                                  ii.     Out of scope

                                                iii.     Extreme language

e.      Resolve/explain – ask what choice explains the conflict and lets both claims be true. Eliminate:

                                                    i.     Out of scope

                                                  ii.     Make conflict worse

                                                iii.     Address only one side

f.      Evaluate – look for a good test of the truth of a claim. Eliminate:

                                                    i.     New information

                                                  ii.     Information that does not connect premises to conclusions

                                                iii.     Out of scope

g.     Identify the reasoning – accurate descriptions of the argument. Eliminate:

                                                    i.     No match to structure

                                                  ii.     Partial matches to structure

h.     Flaw – accurate descriptions of problems with the argument. Eliminate:

                                                    i.     No mention of flaws

                                                  ii.     Out of scope

                                                iii.     No match to argument

                                                iv.     Partial matches to argument

 

Examples on p. 314-329

Practice identifying questions p. 330

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Week 8, Day 2